JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f\left( x \right) = {\sin ^2}x

and the composite function

g\left( {f\left( x \right)} \right) = \left| {\sin x} \right|

, then the function

g\left( x \right)

is equal to

View answer and explanation

Correct option: B

\sqrt x

Option B (

\sqrt x

) is correct because it satisfies the condition g(f(x)) = |sin x|.

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}